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Summary: Absorbing boundary conditions for the one-dimensional Schrödinger
equation with an exterior repulsive potential
Xavier Antoine a,*, Christophe Besse b
, Pauline Klein a
a
Institut Elie Cartan Nancy, Nancy-Université, CNRS UMR 7502, INRIA CORIDA Team, Boulevard des Aiguillettes B.P. 239, F-54506 Vandoeuvre-lès-Nancy, France
b
Equipe Projet Simpaf Inria CR Lille Nord Europe, Laboratoire Paul Painlevé, Unité Mixte de Recherche CNRS (UMR 8524), UFR de Mathématiques
Pures et Appliquées, Université des Sciences et Technologies de Lille, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France
a r t i c l e i n f o
Article history:
Received 11 June 2008
Received in revised form 10 September
2008
Accepted 11 September 2008
Available online 25 September 2008
Keywords:
Schrödinger equation
Artificial boundary condition
Exterior potential
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